201135440 has 160 divisors (see below), whose sum is σ = 539108352. Its totient is φ = 69120000.

The previous prime is 201135433. The next prime is 201135443. The reversal of 201135440 is 44531102.

201135440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201135443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991390 + ... + 1991490.

Almost surely, 2^201135440 is an apocalyptic number.

201135440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269554176).

201135440 is an abundant number, since it is smaller than the sum of its proper divisors (337972912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201135440 is a wasteful number, since it uses less digits than its factorization.

201135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 201135440 is about 14182.2226748842. Note that the first 3 decimals coincide. The cubic root of 201135440 is about 585.9081421712.

Adding to 201135440 its reverse (44531102), we get a palindrome (245666542).

The spelling of 201135440 in words is "two hundred one million, one hundred thirty-five thousand, four hundred forty".